Answer:
AC = 10sin(40°)
Explanation:
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
These functions are as follows:
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
Now, in the given diagram:
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
Based on these givens, we will use the sin(θ) function
Therefore:
[tex]sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)[/tex]
